Translation for 'algebraic curve' from English to Russian

algebraic curve

алгебраическая кривая {ж}мат.

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algebraic

алгебраический {adj}мат.

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algebraic geometry

алгебраическая геометрия {ж}мат.наука

algebraic expression

алгебраическое выражение {с}мат.

algebraic number

алгебраическое число {с}мат.

algebraic structure

алгебраическая структура {ж}мат.

algebraic number theory

алгебраическая теория {ж} чиселмат.

brachistochrone curve

брахистохрона {ж}мат.физ.

French curve

лекало {с}

dragon curve

кривая {ж} драконамат.

• An irreducible plane algebraic curve of degree "d" has ("d" − 1)("d" − 2)/2 − "g" singularities, when properly counted.
• Moreover, the techniques above using the derived category of singularities for isolated singularities can be extended to isolated Cohen-Macaulay singularities, giving techniques for computing the Grothendieck group of any singular algebraic curve.
• Specifically, he presented an explicit algebraic curve, and alleged that some of its local minima are missed when one applies the methods of infinitesimal calculus.
• Terquem's other contributions to mathematics include naming the pedal curve of another curve, and counting the number of perpendicular lines from a point to an algebraic curve as a function of the degree of the curve.
• In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it.

• When "X" is an algebraic curve with field of definition the complex numbers, and if "X" has no singular points, then these definitions agree and coincide with the topological definition applied to the Riemann surface of "X" (its manifold of complex points).
• When "n" is a positive rational number "p"/"q" (in lowest terms), then each quadrant of the superellipse is a plane algebraic curve of order "pq".
• The equation defining an algebraic curve expressed in polar coordinates is known as a "polar equation".
• The asymptotes of an algebraic curve in the affine plane are the lines that are tangent to the projectivized curve through a point at infinity.
• -bundles on an algebraic curve over a finite field can be described in terms of adeles for a reductive group [...].

• -adic representations of the étale fundamental group of an algebraic curve to objects of the derived category of [...] -adic sheaves on the moduli stack of vector bundles over the curve.
• Elliptic curves can be defined over any field "K"; the formal definition of an elliptic curve is a non-singular projective algebraic curve over "K" with genus 1 and endowed with a distinguished point defined over "K".
• The solution of the Jacobi inversion problem for the hyperelliptic Abel map by Weierstrass in 1854 required the introduction of the hyperelliptic theta function and later the general Riemann theta function for algebraic curves of arbitrary genus.
• Algebraic curves can also be space curves, or curves in a space of higher dimension, say [...].